Research Papers: Gas Turbines: Combustion, Fuels, and Emissions

Thermodynamics-Based Mean Value Model for Diesel Combustion

[+] Author and Article Information
Byungchan Lee

e-mail: garam@umd.umich.edu

Dohoy Jung

e-mail: dohoy@umd.umich.edu
Department of Mechanical Engineering,
University of Michigan-Dearborn,
Dearborn, MI 48128

Yong-Wha Kim

e-mail: ykim9@ford.com

Michiel van Nieuwstadt

e-mail: Mvannie1@ford.com
Powertrain Controls R&A,
Ford Motor Company,
Dearborn, MI 48121

Contributed by the Combustion and Fuels Committee of ASME for publication in the Journal of Engineering for Gas Turbines and Power. Manuscript received April 1, 2013; final manuscript received May 15, 2013; published online July 31, 2013. Editor: David Wisler.

J. Eng. Gas Turbines Power 135(9), 091504 (Jul 31, 2013) (9 pages) Paper No: GTP-13-1092; doi: 10.1115/1.4024757 History: Received April 01, 2013; Revised May 15, 2013

A thermodynamics-based computationally efficient mean value engine model that computes ignition delay, combustion phases, exhaust temperature, and indicated mean effective pressure has been developed for the use of control strategy development. The model is derived from the thermodynamic principles of ideal gas standard limited pressure cycle. In order to improve the fidelity of the model, assumptions that are typically used to idealize the cycle are modified or replaced with ones that more realistically replicate the physical process such as exhaust valve timing, in-cylinder heat transfer, and the combustion characteristics that change under varying engine operating conditions. The model is calibrated and validated with the test data from a Ford 6.7 liter diesel engine. The mean value model developed in this study is a flexible simulation tool that provides excellent computational efficiency without sacrificing critical details of the underlying physics of the diesel combustion process.

Copyright © 2013 by ASME
Your Session has timed out. Please sign back in to continue.


Moskwa, J., 1988, “Automotive Engine Model for Real Time Control,” Ph.D. thesis, Department of Mechanical Engineering, MIT, Cambridge, MA.
Moskwa, J., and Hendrick, J., 1992, “Modeling and Validation of Automotive Engines for Control Algorithm Development,” ASME J. Dynamic Syst., Meas., Control, 114, pp. 278–285. [CrossRef]
Kao, M., and Moskwa, J., 1995, “Turbocharged Diesel Engine Modeling for Nonlinear Engine Control and State Estimation,” ASME J. Dyn. Syst., Meas., Control, 117, pp. 20–30. [CrossRef]
Kao, M., and Moskwa, J., 1995, “Nonlinear Diesel Engine Control and Cylinder Pressure Observation,” ASME J. Dyn. Syst., Meas., Control, 117, pp. 183–192. [CrossRef]
Powell, B., and Cook, J., 1987, “Nonlinear Low Frequency Phenomenological Engine Modeling and Analysis,” IEEE American Control Conference, Minneapolis, MN, June 10–12, pp. 332–340.
Hendricks, E., Chevalier, A., Jensen, M., Sorenson, S., Trumpy, D., and Asik, J., 1996, “Modeling of the Intake Manifold Filling Dynamics,” SAE Paper No. 960037. [CrossRef]
Jankovic, M., Frischimuth, F., Stefanopolou, A., and Cook, J., 1998, “Torque Management of Engines With Variable Cam Timing,” IEEE Control Syst., 18, pp. 34–42. [CrossRef]
Gorinevski, D., Cook, J., Feldkamp, L., and Vukovich, G., 1999, “Predictive Design of Linear Feedback/Feedforward Controller for Automotive VCT Engine,” Proceedings of the American Control Conference (ACC 1999), San Diego, CA, June 2–4, pp. 207–211. [CrossRef]
Kolmanovsky, I., van Nieuwstadt, M., and Moraal, P., 1999, “Optimal Control of Variable Geometry Turbocharged Diesel Engines With Exhaust Gas Recirculation,” Proceedings of the ASME Dynamic Systems and Control Division, ASME International Mechanical Engineering Congress and Exposition, Nashville, TN, November 14–19, pp. 265–273.
van Nieuwstadt, M., Kolmanovsky, I., Brehob, D., and Haghgooie, M., 2000, “Heat Release Regressions for GDI Engines,” SAE Paper No. 2000-01-0956. [CrossRef]
Eriksson, L., Nielson, L., Brugard, J., Bergstrom, J., Pettersson, F., and Andersson, P., 2002, “Modeling of a Turbocharged SI Engine,” Ann. Rev. Control, 22, pp. 129–137. [CrossRef]
Sun, J., Kolmanovski, I., Cook, J., and Buckland, J., 2005, “Modeling and Control of Automotive Powertrain Systems: A Tutorial,” Proceedings of the American Control Conference (ACC 2005), Portland, OR, June 8–10, pp. 3271–3283 [CrossRef].
Eriksson, L. and Andersson, I., 2002, “An Analytic Model for Cylinder Pressure in a Four Stroke SI Engine,” SAE Paper No. 2002-01-0371. [CrossRef]
Eriksson, L., 2002, “Mean Value Models for Exhaust System Temperatures,” SAE Paper No. 2002-01-0374. [CrossRef]
Walstrom, J., and Eriksson, L., 2006, “Modeling of a Diesel Engine With VGT and EGR Including Oxygen Mass Fraction,” Vehicular Systems, Department of Electrical Engineering, Linkoping University, Linkoping, Sweden.
Stogtjarn, P., 2002, “Modeling of the Exhaust Gas Temperature for Diesel Engines,” Master’s thesis, Department of Electrical Engineering, Linkoping University, Linkoping, Sweden.
Woschni, G., 1967, “Universally Applicable Equation for the Instantaneous Heat Transfer Coefficient in the Internal Combustion Engine,” SAE Paper No. 670931. [CrossRef]
Watson, N., 1984, “Dynamic Turbocharged Diesel Engine Simulator for Electronic Control System Development,” ASME J. Dyn. Syst., Meas., Control, 106, pp. 27–43. [CrossRef]
Watson, N., Pilley, A., and Marzouk, M., 1980, “A Combustion Correlation for Diesel Engine Simulation,” SAE Paper No. 800029. [CrossRef]
Caton, J., and Heywood, J., 1981, “An Experimental and Analytical Study of Heat Transfer in an Engine Exhaust Port,” Int. J. Heat Mass Transfer, 24(4), pp. 581–595. [CrossRef]


Grahic Jump Location
Fig. 2

The p-V and T-S diagrams of the ideal gas standard limited pressure cycle

Grahic Jump Location
Fig. 1

Rate of heat release and fuel injection

Grahic Jump Location
Fig. 3

The p-V diagram of the ideal gas standard limited pressure cycle

Grahic Jump Location
Fig. 4

Method used to measure xcv from the test data

Grahic Jump Location
Fig. 5

The α, β, Te, and imepig as functions of xcv

Grahic Jump Location
Fig. 6

Ignition delay correlation

Grahic Jump Location
Fig. 7

Exhaust valve opening before BDC

Grahic Jump Location
Fig. 8

The p-V diagram of the ideal gas standard limited pressure cycle with intake and exhaust processes

Grahic Jump Location
Fig. 10

Engine operating conditions for the test data

Grahic Jump Location
Fig. 12

Constant volume burn ratio

Grahic Jump Location
Fig. 9

Measured exhaust mass flow rate and gas temperature inside the cylinder and at the exhaust port, compared with the gas temperature in the cylinder computed by the ideal cycle model

Grahic Jump Location
Fig. 13

Indicated mean effective pressure

Grahic Jump Location
Fig. 14

Engine operating conditions for the model validation

Grahic Jump Location
Fig. 15

Indicated mean effective pressure

Grahic Jump Location
Fig. 16

Exhaust gas temperature

Grahic Jump Location
Fig. 17

Peak cylinder pressure



Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In